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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 920 · 40 sums
TalentJR

The trick (Sankalana-Vyavakalanabhyam): Take the smaller number away from the bigger one, as many times as it goes. Now use the smaller number and what is left. Repeat until nothing is left: the last number before 0 is the HCF.

NameDateTime takenScore ___ / 40
  1. 1.HCF of 209 and 22 =
  2. 2.HCF of 275 and 375 =
  3. 3.HCF of 108 and 120 =
  4. 4.HCF of 112 and 24 =
  5. 5.HCF of 35 and 10 =
  6. 6.HCF of 44 and 121 =
  7. 7.HCF of 90 and 342 =
  8. 8.HCF of 26 and 195 =
  9. 9.HCF of 38 and 30 =
  10. 10.HCF of 204 and 48 =
  11. 11.HCF of 273 and 378 =
  12. 12.HCF of 63 and 119 =
  13. 13.HCF of 192 and 156 =
  14. 14.HCF of 180 and 54 =
  15. 15.HCF of 414 and 299 =
  16. 16.HCF of 272 and 289 =
  17. 17.HCF of 56 and 49 =
  18. 18.HCF of 25 and 90 =
  19. 19.HCF of 144 and 120 =
  20. 20.HCF of 192 and 36 =
  21. 21.HCF of 24 and 76 =
  22. 22.HCF of 336 and 456 =
  23. 23.HCF of 85 and 34 =
  24. 24.HCF of 182 and 112 =
  25. 25.HCF of 84 and 216 =
  26. 26.HCF of 247 and 209 =
  27. 27.HCF of 34 and 323 =
  28. 28.HCF of 42 and 54 =
  29. 29.HCF of 60 and 70 =
  30. 30.HCF of 40 and 60 =
  31. 31.HCF of 42 and 36 =
  32. 32.HCF of 216 and 60 =
  33. 33.HCF of 114 and 72 =
  34. 34.HCF of 42 and 238 =
  35. 35.HCF of 38 and 95 =
  36. 36.HCF of 176 and 288 =
  37. 37.HCF of 115 and 437 =
  38. 38.HCF of 15 and 95 =
  39. 39.HCF of 9 and 57 =
  40. 40.HCF of 40 and 144 =

Answer key

  1. 11
  2. 25
  3. 12
  4. 8
  5. 5
  6. 11
  7. 18
  8. 13
  9. 2
  10. 12
  11. 21
  12. 7
  13. 12
  14. 18
  15. 23
  16. 17
  17. 7
  18. 5
  19. 24
  20. 12
  21. 4
  22. 24
  23. 17
  24. 14
  25. 12
  26. 19
  27. 17
  28. 6
  29. 10
  30. 20
  31. 6
  32. 12
  33. 6
  34. 14
  35. 19
  36. 16
  37. 23
  38. 5
  39. 3
  40. 8

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